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2 years ago

4 1/2 ÷(−1 3/7 ) please help and hurry

Mathematics

2 answers:

MAVERICK [17]2 years ago

7 0

4 1/2 = 9/2 -1 3/7 = - 10/7
- 9/2 x 10/7
- 63/20
Answer: - 63/20, -3 3/20, -3.15

myrzilka [38]2 years ago

6 0

Hi! I'm happy to help!

To first solve this, we need to make those mixed numbers improper fractions.

To make 4 1/2 an improper fraction, you have to turn 4 into halves (multiply four by 2) then add the extra half, giving you 9/2.

$\frac{9}{2}$ ÷(−1 $\frac{3}{7}$ )

Now, we turn 1 3/7 into an improper fraction. We turn 1 into sevenths (multiply 1 by 7) then add the other 3 sevenths, giving you 10/7.

$\frac{9}{2}$ ÷(− $\frac{10}{7}$ )

From here, we need to turn this problem into a multiplication problem in order to solve. Since multiplication is the opposite of division, we need to get the opposite of something, so we use our second fraction and flip it.

$\frac{9}{2}$ ×(− $\frac{7}{10}$ )

Now, we multiply the top by the top, and the bottom by the bottom. (any positive multiplied by a negative gives a negative)

- $\frac{63}{20}$

<u>Since we cannot simplify, our final answer is -63/20.</u>

I hope this was helpful, keep learning! :D

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Write each quadratic function below in terms of linear factors.a)f(x)=x²-25b)f(x)=x²+25c)f(x)=4x²+25d)f(x)=x²-2x+1e)f(x)=x²-2x+4

Andrei [34K]

Answer:

a) (x + 5) (x - 5)

b) (x + 5i) (x - 5i)

c) (x + (5i/2)) (x - (5i/2))

d) (x-1)(x-1)

e) x +i√3 +1) (x -i√3+1)

Step-by-step explanation:

To solve this, we will need to factorize each quadratic function making it equal to zero first and then proceeding to find x

a) f(x) = x²-25

x²-25 = 0

⇒(x + 5) (x - 5)

b) f(x)=x²+25

x² + 25 = 0

x²= -25

x = √-25

x = √25i

x = ±5i

⇒(x + 5i) (x - 5i)

c) f(x)=4x²+25

4x²+25 = 0

4x²= -25

x² = -25/4

x = ±√(-25/4)

x = ±(√25i)/2

x = ±5i /2

⇒(x + (5i/2)) (x - (5i/2))

d) f(x)=x²-2x+1

x²-2x+1 = 0

⇒(x - 1)²

e) f(x)=x²-2x+4

x²-2x+4 = 0

x²-2x = -4

x²-2x +1 = -4 +1

x²-2x + 1 = -3

(x-1)² +3 = 0

(x-1)²= -3

x-1 = √-3

x = ±√3i +1

⇒(x +i√3 +1) (x -i√3+1)

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4 1/2 ​ ÷(−1 3/7​ ) please help and hurry

4 1/2 ÷(−1 3/7 ) please help and hurry